Timeline for Are open sets determined by paths?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2020 at 18:48 | vote | accept | Nick Addington | ||
| Feb 4, 2020 at 13:06 | answer | added | Jeremy Brazas | timeline score: 4 | |
| Feb 4, 2020 at 5:06 | comment | added | Anton Petrunin | What about locally path connected spaces? | |
| Feb 4, 2020 at 3:42 | comment | added | Jeremy Brazas | The spaces satisfying this condition are often called “delta generated” spaces. | |
| Feb 4, 2020 at 3:10 | comment | added | Noah Schweber | Any topology on $[0,1]$ strictly coarser than the usual one gives a counterexample - and e.g. the cofinite topology on $[0,1]$ is path connected. I think the right context for this question, at least at first, is (locally) path-connected Hausdorff spaces. | |
| Feb 4, 2020 at 2:51 | comment | added | Nick Addington | Nice. And the topologist's sine curve will become disconnected in this topology, so maybe we want to say locally path-connected at least. | |
| Feb 4, 2020 at 2:48 | comment | added | LSpice | The $p$-adics (or any non-discrete, totally disconnected space) admit no non-constant paths. | |
| Feb 4, 2020 at 2:47 | history | asked | Nick Addington | CC BY-SA 4.0 |